Complex Numbers And Quadratic Equations question 806
Question: If $ x^{2}+2ax+10-3a>0 $ for all $ x\in R $ , then [IIT Screening 2004]
Options:
A) $ -5<a<2 $
B) $ a<-5 $
C) $ a>5 $
D) $ 2<a<5 $
Show Answer
Answer:
Correct Answer: A
Solution:
According to given condition, $ 4a^{2}-4(10-3a)<0 $
Þ $ a^{2}+3a-10<0 $
Þ $ (a+5)(a-2)<0 $
Þ $ -5<a<2 $ .